Find the 7th term of the geometric sequence –4, 12, –36, 108, –324,...
a
–2,916
b
972
c
8,748
d
–2,920

Answers

Answer 1

Answer:

a

Step-by-step explanation:

a=-4 r=12/-4=-3

T7= ar^n-1

= (-4)(-3)^7-1

=-2916

Answer 2

The first term of this geometric sequence is equal to: A. -2916.

How to calculate the 7th term of a geometric sequence?

Mathematically, a geometric sequence is given by this expression:

[tex]a_n =a_1r^{n-1}[/tex]

Where:

r is the common ratio.a is the first term of a geometric sequence.

Based on the geometric sequence, the first term is equal to -4. Also, the common ratio is given by:

r = 12/-4

r = -3.

For the 7th term, we have:

a₇ = -4 × (-3)⁷⁻¹

a₇ = -4 × (-3)⁶

a₇ = -4 × 729

a₇ = -2916.

Read more on geometric sequence here: brainly.com/question/12630565

#SPJ2


Related Questions

Bill Fold had $50. He
spent $16 on his favorite
book and $29 for games.
How much does he have
left?

Answers

Add 16 and 29, so u will get the total money they spent. Then subtract that number to 50. Then there will be the total amount of money u have left.


63 divided by 3456 ?

Answers

63 divided by 3456 is 0.01822916666
3456 divided by 63 is 54.8571428571

Hope this helps!

Which of the following numbers can be expressed as repeating decimals? (15 points!!!)

2 over 9 , 3 over 8 , 5 over 6 , 5 over 4
3 over 8 and 5 over 6
2 over 9 and 5 over 6
2 over 9 and 5 over 4
3 over 8 and 5 over 4

PLEASE HELP

Answers

2/9 and 5/6

You can type all of these values into the calculator, and if you find the value to have a finite number of digits, then said number would not be the answer

2/9 = 0.22222222....
3/8 = 0.375
5/6 = 0.83333333....
5/4 = 1.25

twenty students went to a fast food restaurant everyone ordered a hamburger and a drink hamburgers cost 3.25 each and drinks cost 1.15 each

Answers

What are you trying to ask?

In a repeating musical pattern there are 64 beats in 8 measures. How many measures are there after 96 beats? Find the unit rate.

Answers

Answer:

12 measures

Step-by-step explanation:

Step 1:

64 : 8        Ratio

Step 2:

64 : 8 = 96 : x         Equation

Step 3:

64x = 768       Multiply

Step 4:

x = 768 ÷ 64       Divide

Answer:

x = 12

Hope This Helps :)

Complete the two-column proof using the answers in the bank. Given: DF ≅ EF FG bisects ∠DFE Prove: ∆DFG ≅∆EFG

Please explain the anwser, because I don't know how to do this correctly.

Answers

Answer:

Reasons:

1. Given

2. Given

3. Definition of bisector

4. Reflexive property

5. SAS Congruence

Step-by-step explanation:

This is quite easy to solve. All that you're expected to do is to complete the reason that justifies each statement given in the two-column proof.

Let's complete the proof as follows:

1. Statement: [tex] DF \cong EF [/tex]

1. Reason: Given

We know this statement is true because we are given in the question.

2. Statement: FG bisects <DFE

2. Reason: Given

We also know this because we are told so in the question, as shown in the diagram given.

3. Statement: [tex] \angle 1 \cong \angle 2 [/tex]

3. Reason: Definition of bisector

We know this because an angle bisector divides an angle into two equal halves. Therefore, the definition of bisector justifies why it was stated that [tex] \angle 1 \cong \angle 2 [/tex]

4. Statement: [tex] \overline{FG} \cong \overline{FG} [/tex]

Reason: Reflexive property.

5. Statement: ∆DFG [tex] \cong [/tex] EFG

5. Reason: SAS Congruence

Two sides (DF and FG) and an included angle (angle 1) of ∆DFG is congruent two corresponding sides (EF and FG) and an included angle (angle 2) of ∆EFG. Therefore, ∆DFG [tex] \cong [/tex] EFG by the Side-Angle-Side (SAS) Congruence Theorem.

Jonathan decides to go to an arcade  Play some games. He sets a limit of $35 that he will spend 

Answers

Answer:

Hope it will help you

Step-by-step explanation:

Option B

Jonathan can buy 33 games.

What is equation?

The definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.

Given that, Jonathan decides to go to an arcade to play some games. He sets a limit of $35 that he will spend

Let he can buy x games, then the equation will be,

0.75x+10 = 35

0.75x = 25

x = 100/3 ≈ 33

Hence, Jonathan can buy 33 games.

For more references on equation, click;

https://brainly.com/question/10413253

#SPJ5

What is -5+3




Lol had to had more things to post this but please answer my question

Answers

Answer:-2

Step-by-step explanation:

if you count from -5 and take away 3 it will give you -2

Answer:

-2

Step-by-step explanation:

- means taking away.

-5+3 means that your taking away -5 from 3.

3 is smaller than 5 though, which means that the awnser will be negative.

-5+3=-2

Hope this helps!

Can someone please do this?

Answers

All of them except for 72441 are divisible by 2

how do you solve this? ​

Answers

Answer:

i have no idea.....

Step-by-step explanation:

Answer:

sin(5x)

Step-by-step explanation:

Recall that the half angle identity relates the sine of half an angle to the square root of one minus the cosine of the angle as shown below:

[tex]sin(\frac{\theta}{2} )=+/-\sqrt{\frac{1-cos(\theta)}{2} }[/tex]

therefore, in our case:

[tex]sin(5\,x )=+/-\sqrt{\frac{1-cos(10\,x)}{2} }[/tex]

so, make sure you type the expression : "sin(5x)" in the provided text-box.

find the missing lengths and leave answers as radicals in simplest form

Answers

Answer:

x=8[tex]\sqrt{3}[/tex]

y=8

Step-by-step explanation:

lmk if you need work

You carry a 20 N bag of dog food up a 6 m flight stairs how much work was done?

Answers

Work = Force x Distance

20 x 6 = 120

Suppose it is certain that an earthquake will occur someday. What is the probability (to the nearest percent) that it will occur while you are at work? Assume you are at work 8 hours per day, 240 days per year.

Answers

Answer:

22%

Step-by-step explanation:

Given that:

Number of hours at work daily = 8 hours

Number of days at work per year = 240

Total number of hours at work per year = Number of hours at work daily [tex]\times[/tex] Number of days at work per year

Total number of hours at work per year = 8 [tex]\times[/tex] 240 = 1920 hours

Total number of days in an year = 365

Total number of hours per day = 24

Total number of hours in an year = 24 [tex]\times[/tex] 365 = 8760

Here, to find the probability that the earthquake will occur while the person is at work, we actually have to find the fraction of number of hours at work to the total number of hours in an year.

Therefore, the required probability is:

[tex]\dfrac{1920}{8760} \approx \bold{0.2191}[/tex]

Therefore the probability to the nearest percent is: 22%

Yvonne paid $18.72 for 8 gallons of gas.
She then passed by another gas station
advertising it for $2.29 per gallon. How much
money would she have saved if she had
waited and purchased it at the other location?

Answers

Answer: 0.40 cents
Explanation: 18.72 / 8 = $2.34 per gallon, 2.34 - 2.29 = $0.05 per gallon , $0.05 x 8 gallons = 0.40 cents

Write each decimal as a percent: 2.65

Answers

Answer:

0.0265

Step-by-step explanation:

6 friends all use $2 off coupons to buy themselves movie tickets. They spend a total of $42 Write the equation

Answers

Answer:

(C / n) + 2

Step-by-step explanation:

Amount spent (C) = 42

Number of friends (n) = 6

Coupon on ticket = $2

Original price of ticket will be :

Cost per coupon ticket = (Total amount spent / number of friends)

(Total amount spent / number of friends) + coupon on ticket

= (C / n) + 2

= (42 /6) + 2

= 7 + 2

= 9

What is the volume, measured in cubic centimeters, of the box below? Do not
include units in your answer.
4 cm
5 cm
1 cm

Answers

Answer:

20

Step-by-step explanation:

4 × 5 × 1 = 20 (cm³)

Hope it help, please give me Brainlest!

Answer:

20

Step-by-step explanation:

The formula for volume:

[tex]V=length*width*height\\\\V=lwh[/tex]

Multiply all given values together:

[tex]V=4*5*1\\\\V=20*1\\\\V=20[/tex]

The volume of the box is 20cm³.

:Done

Note:

"Cubic" centimeters means cm³. The exponent is used because you multiplied 3 dimensions.

Another example would be with area. To find this, you multiply length by width, resulting in area², because you mutliplied 2 dimensions.

PLEASE HELP!! Serious answers only please!!

Use the expression 9i+2(7+3i) to answer this question!

Which property or properties should you use to simplify this expression?

Apply those properties to each term

Answers

Answer:

Step-by-step explanation:

Use the distributive property to get rid of the brackets.

9i + 2*7 + 2*3i        Use the multiplication property to simplify the imaginary terms

9i + 2*3i + 2*7        Do the same to the real term

9i + 6i + 14              Use the addition of like terms property

15i + 14                    And that's your answer.

You may not like my terminology, but you have to remember that every text teaches this differently.

Aye please help! It is a late assignment I missed math class so please helppp!

Answers

Answer:

$3

Step-by-step explanation:

When doing estimation, you would want the estimated amount to be rounded off to a number that can be divisible by the question, which in this case is 4. Thus, I will be rounding $11.87 to $12.

11.87 ≈ 12

Amount each friend will pay ≈ 12÷4

                                               = 3

The number 1.255 is an example of a terminating or repeating
decimal number?

Answers

Answer:

Terminating

Step-by-step explanation:

Since the number ends exactly after 3 decimal places, it is a terminating decimal number.

On the other hand, repeating decimal numbers are numbers such as 2.33... or 8.66... that repeat the number forever.

So, the number 1.255 is terminating.

What is the x-coordinate of point B? Write a decimal coordinate.
(brainliest ) Edge 2020

Answers

The coordinate of point B is approximately (-1.5, 3.5).

Actual lengths of pregnancy terms for a particular species of mammal are nearly normally distributed about a mean pregnancy length with a standard deviation of 13 days. About what percentage of births would be expected to occur more than 39 days after the mean pregnancy​ length?

Answers

Answer:

just getting points i hope u find the answer tho

Step-by-step explanation:

I need this ASAP!!! Please help!!!
The water depth for a pool is set to 6 feet, but the
actual depth of the pool may vary by as much as 4
inches. Write and solve an absolute value inequality
to find the range of possible water depths in inches.

Answers

Answer:

4

Step-by-step explanation:

Absolute value is just the number without and negative signs, for example, -5 would have an absolute value of 5

Select all that apply.

A graph shows _____ in picture form.


variables
facts
color
statistics
sums
data
Note: There is not just one answer

Answers

I think statistics and data hope that helps

The pie chart shows information about pupils in KS3 at a school Altogether, there are 200 pupils in ks3 a) How many pupils are in year7? b) how many pupils are in year 9

Answers

Answer:

a) 75

b)25

Step-by-step explanation:

Answer:

a) 75

b)25

Hope this helps

Greg had to pay a 12% service charge for ordering two football tickets over the phone. If the tickets cost $84 before the service charge, how many dollars in total did Greg pay for the tickets?

Answers

Answer: 10.08

Step-by-step explanation:

Write in terms of i. Simplify as much as possible.

-√-45

Answers

Answer:

I got - 6.70820393 i

Step-by-step explanation:

let me know if I am wrong :)

Penelope buys bracelets in bulk at a cost of $8 each to sell at her store. She uses a markup rate of 125%, which is added to the bracelet cost. What is the retail price of a bracelet?

Answers

Answer:

$18.00

Step-by-step explanation:

8 x 1.25 = 10

8 + 10 = 18

calculeaza aria unu paralelogram cu latura 3 radical 2 cm si inaltimea 2cm

Answers

Answer:

Aria unui paralelogram [tex]=6\sqrt{2}[/tex]

Step-by-step explanation:

Folosind formula:

Aria unui paralelogram = (baza x înălțimea)

                                       = (3√2 x 2)

                                        [tex]=6\sqrt{2}[/tex]

Aria unui paralelogram [tex]=6\sqrt{2}[/tex]

Answer:

6 radical din 2

Step-by-step explanation:

aria paralelogram=b. h =3 rad 2 . 2=6 radical din 2 cm partati

A store manager wishes to investigate whether there is a relationship between the type of promotion offered and the number of customers who spend more than $30 on a purchase. Data will be gathered and placed into the two-way table below.

Customer Spending by Promotion Run


Customers Spending More than $30. Customers Spending $30 or Less.
$10 off $50

15% off

$5 off $25

Buy-1-Get-1 Half Off

Which statement best describes how the manager can check if there is an association between the two variables?

A. The manager must check relative frequencies by row because there are more than two different promotions.

B.The manager must check relative frequencies by column because there are more than two different promotions.

C. The manager cannot use relative frequencies to look for an association because there are more than two different promotions.

D. The manager should check both relative frequencies by row and by column to look for an association.

Answers

Answer:

the answer is d

Step-by-step explanation:

I took the test on edge

Answer:

D

Step-by-step explanation:

have a good day /night :)

Other Questions
During what period in ancient Egypt were the pyramid built What is the perimeter of the equilateral triangle if one side is 15 feet show ur working out and thank u how has technology affected globalization in the 20th century PLS HELP ASAP! WILL GIVE BRAINLIEST!!! Use "Conformity" and "Funny in Farsi" to answer questions 10-12. Then fill in the answers on your answer document.10.What is one similarity between the endings of the two texts ?Both demonstrate that all people must eventually conformBoth end with an anecdote about how they were helped.Both affirm that ideas in the text have been proven by previous experience.Both end with proof that all people are expected to conform 5. What was the real intent of the Sugar Act? how did Confucianism help ancient china Help me pls!!! last questionTori needs to turn her Turtle to the left 90 pixels. Which line of code should Tori use?tina(90)tina.back(90)tina.left(90)tina.right(90) Which molecules provide the elements for creating stored chemical energy for the cell? Ifyouincreased one mass 2 times and anothermass by 4 times how would the force of gravitybetween them change? (02.05 LOWhich type of heat transfer takes place through electromagnetic waves? (3 points) using completing the square method in quadratic equation 5x+ 11x + 2=0 Find 62(9) . Express your answer as a fraction in simplest form HELP A house on the market was valued at $357,000. After several years, the value decreased by 9%. By how much did the house's value decrease in dollars? Whatis the current value of the houseDecrease :Current value : (I AM GIVING EXTRA POINTS AND BRAINLIEST TO WHO EVER HELPS ME!! :D)Which was the largest group in the colonies in the years leading up to the American Revolution?A) AlliesB) LoyalistsC) PatriotsD) Undecideds(Here is an image if needed) : PLZ HELPWhat was one goal of Catholic reformers?a ending corruptionb reducing diocesesc eliminating missionsd replacing sacraments WILL GIVE BRAINLIEST ANSWER !! 1) Many video games have violence in them. 2) Male teenagers are the primary consumers and players of video games. 3) Therefore, most teenage boys are violent and should not be allowed toplay video games. 4) According to a study in the Psychological Science journal in 2001, war-based video games contain the most violence of any video gameWhich sentence demonstrates a fallacy or faulty reasoning?sentence 1Bsentence 2sentence 3Dsentence 4 Read the excerpt from Remarks by the President on Osama bin Laden.We give thanks for the men who carried out this operation, for they exemplify the professionalism, patriotism, and unparalleled courage of those who serve our country. And they are part of a generation that has borne the heaviest share of the burden since that September day.Which answer most accurately identifies Obamas purpose for using the metaphor has borne the heaviest share of the burden?Remarks by the President on Osama bin Ladento point out the mental and physical difficulties faced by the military team that killed Osama bin Ladento reference the physical injuries sustained by Americans who were near the World Trade Center siteto reference the complicated pressures and stresses felt by the military and young Americansto point out the emotional difficulties related to occupying a position of leadership during a crisis a group of the periodic table is called 1. What roles do hormones play in plant development?2. Should commercial fruit farmers be allowed to use ethylene to accelerate the ripening of fruit for the market? Why or why not?3. Do you believe that ethylene gas is essential to plants ability to produce fruit, seeds, and reproduce? Why or why not?